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Finding the Fourth Proportional to 8,034.67, 12,052.47 and 3,104.34

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Solution

The fourth proportional to 8,034.67, 12,052.47 and 3,104.34 is: 4,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.67 : 12,052.47 = 3,104.34 : x
  2. Step 2: Convert to fraction form
    8,034.67/12,052.47 = 3,104.34/x
  3. Step 3: Cross multiply
    8,034.67x = 12,052.47 × 3,104.34
  4. Step 4: Simplify right side
    8,034.67x = 37,414,964.72
  5. Step 5: Solve for x
    x = 37,414,964.72/8,034.67
  6. Step 6: Final answer
    x = 4,656.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.